WRITTEN ASSIGNMENT 4 Question 1 This question has two distinct problems. 1. Let f(x)-Invå+ sin"(In x). Then f,(z) = (ln(z) + 1) + sin(In z) cos(In a ) Answer the following questions in your own words: (a) The first term of f(x) is z In T. Its derivative is In( Va) +1/2. True or false? Explain why. (b) The first term of f(x) above is 1(In(x) +1). How did we get 1(In(x) 1) in f'(x)? Explain. (c) The second term of f,(x) above is ë¦ sin(Inz) cos(inz). How did we get ë¦ and cos(in z)? Explain. 2. Explain why the domain of f (x) In(ln()) is all z >1. Then compute f